Model reduction for nonlinear systems based on the differential eigenstructure of Hankel operators
Model reduction for nonlinear systems based on the differential eigenstructure of Hankel operators
复制标题
基于Hankel算子微分特征结构的非线性系统模型简化
DOI：
10.1109/cdc.2001.980322
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
J. Scherpen
中科院分区：
文献类型：
--
作者：
K. Fujimoto;J. Scherpen
基于Hankel算子的微分特征结构，提出了一种新的非线性系统的输入-正规输出-对角实现和模型降阶方法。首先，我们参考了关于原始奇异值函数的输入正规实现和具有轴奇异值函数的Hankel算子的微分特征结构的初步结果。其次，阐明了奇异值函数的两种不同刻画之间的关系，从而刻画了新的输入正规实现。最后，在得到的实现基础上进行模型降阶。数值试验证明了本文方法的有效性.
This paper offers a new input-normal output-diagonal realization and model reduction procedure for nonlinear systems based on the differential eigenstructure of Hankel operators. First, we refer to the preliminary results on input-normal realizations with original singular value functions and the differential eigenstructure of Hankel operators with axis singular value functions. Next, the relationship between the two different characterizations of singular value functions is clarified and, consequently, the new input-normal realization is characterized. Finally, we perform the model reduction based on the obtained realization. Numerical examples demonstrate the effectiveness of the proposed method.